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Small solutions of quadratic forms with congruence conditions
Published 19 Aug 2020 in math.NT | (2008.08568v2)
Abstract: We consider a system of homogeneous quadratic forms with congruence conditions in $n\geq 3$ variables and prove the existence of two linearly independent integral solutions of bounded height. We also show the existence of small height integral zeros of this system avoiding a given set of hyperplanes.
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